A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n$

Details A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n$ A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n$

1997-12-12

arxiv.org/abs/q-alg/9712035v1

Mathematics

Quantum Algebra

18 pages, AMS-Latex, no figures

Scientific paper

10.1007/s002200050449

We construct a solution of Cherednik's quantum Knizhnik Zamolodchikov equation associated with the root system of type $C_n$. This solution is given in terms of a restriction of a $q$-Jordan-Pochhammer integral. As its applicaton, we give an explicit expression of a special case of the Macdonald polynomial of the $C_n$ type. Finally we explain the connection with the representation of the Hecke algebra.

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